{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Old matplotlib style"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import prettyplotlib as ppl\n",
      "\n",
      "# prettyplotlib imports \n",
      "import matplotlib.pyplot as plt\n",
      "from prettyplotlib import mpl\n",
      "from prettyplotlib import brewer2mpl\n",
      "\n",
      "# Set the random seed for consistency\n",
      "np.random.seed(12)\n",
      "\n",
      "fig, ax = plt.subplots(1)\n",
      "\n",
      "# Show the whole color range\n",
      "for i in range(8):\n",
      "    y1 = np.random.normal(size=1000).cumsum()\n",
      "    y2 = np.random.normal(size=1000).cumsum()\n",
      "    x = np.arange(1000)\n",
      "\n",
      "    ax.fill_betweenx(x, y1, y2, label=str(i))\n",
      "    \n",
      "ax.legend()\n",
      "\n",
      "fig.savefig('fill_betweenx_matplotlib_default.png')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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MQdUuY78AZrd5xl2D9cji6MqniJY/heYpHlvwXBwGDTqDsWPPZvToJKKjI7FYLIwbN45p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\nN2rmTguosswqbeJ3v3uaqKhIgoODCQ8Pp66ujpqaGgwGAwaDgcLCHDI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UgfuqtAXV8Kuo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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x112f78190>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Prettyplotlib"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import prettyplotlib as ppl\n",
      "\n",
      "# prettyplotlib imports \n",
      "import matplotlib.pyplot as plt\n",
      "from prettyplotlib import mpl\n",
      "from prettyplotlib import brewer2mpl\n",
      "\n",
      "# Set the random seed for consistency\n",
      "np.random.seed(12)\n",
      "\n",
      "fig, ax = plt.subplots(1)\n",
      "\n",
      "# Show the whole color range\n",
      "for i in range(8):\n",
      "    y1 = np.random.normal(size=1000).cumsum()\n",
      "    y2 = np.random.normal(size=1000).cumsum()\n",
      "    x = np.arange(1000)\n",
      "\n",
      "    ppl.fill_betweenx(x, y1, y2, label=str(i))\n",
      "    \n",
      "ax = ppl.legend()\n",
      "\n",
      "fig.savefig('fill_betweenx_prettyplotlib_default.png')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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BFT0hEYvf+HvmuQKvEyHdL9CVGk63QaWzzPd+MomhJcnEixw//OAdkwcQXHFbQK/X419/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M2atuhef+DCBIk/cM3yhc+EVWG0kidnVyk6Fk4qQqjprUlQCEHk5VdJFYuEylXSrsUtaYPeeAjl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\nuM78/yxpY2YaoswtAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x112f7c8d0>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}